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Finding the Third Proportional to 33,181.76 and 71,899.37

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Solution

The third proportional to 33,181.76 and 71,899.37 is: 155,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,181.76 : 71,899.37 = 71,899.37 : x
  2. Step 2: Convert to fraction form
    33,181.76/71,899.37 = 71,899.37/x
  3. Step 3: Cross multiply
    33,181.76x = 71,899.37 × 71,899.37
  4. Step 4: Simplify right side
    33,181.76x = 5,169,518,721.11
  5. Step 5: Solve for x
    x = 5,169,518,721.11/33,181.76
  6. Step 6: Final answer
    x = 155,793.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.